Title : ( An operator extension of the parallelogram law and related norm inequalities )
Authors: Mohammad Sal Moslehian ,
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Abstract
We establish a general operator parallelogram law concerning a characterization of inner product spaces, get an operator extension of Bohr’s inequality and present several norm inequalities. More precisely, let A be a C*-algebra, T be a locally compact Hausdorff space equipped with a Radon measure μ and let (A_t ) be a continuous field of operators in A such that the function t →A_t is norm continuous on T and the function t →||A_t|| is integrable.
Keywords
, Bochner integral, Schatten p-norm, norm inequality, parallelogram law, unitarily invariant norm, convex function, Bohr’s inequality, inner product space.
@article{paperid:1027156,
author = {Sal Moslehian, Mohammad},
title = {An operator extension of the parallelogram law and related norm inequalities},
journal = {Mathematical Inequalities and Applications},
year = {2011},
volume = {14},
number = {3},
month = {June},
issn = {1331-4343},
pages = {717--725},
numpages = {8},
keywords = {Bochner integral; Schatten p-norm; norm inequality; parallelogram law; unitarily
invariant norm; convex function; Bohr’s inequality; inner product space.},
}
%0 Journal Article
%T An operator extension of the parallelogram law and related norm inequalities
%A Sal Moslehian, Mohammad
%J Mathematical Inequalities and Applications
%@ 1331-4343
%D 2011
